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2042310040 = 235419071373
BaseRepresentation
bin111100110111011…
…0010110110011000
312021022222002200121
41321232302312120
513140312410130
6534353443024
7101416230451
oct17156626630
95238862617
102042310040
11958915841
1248bb70474
1326716c4a4
14155350128
15be46dd7a
hex79bb2d98

2042310040 has 64 divisors (see below), whose sum is σ = 4715897760. Its totient is φ = 795540480.

The previous prime is 2042310037. The next prime is 2042310041. The reversal of 2042310040 is 400132402.

It is a junction number, because it is equal to n+sod(n) for n = 2042309996 and 2042310023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042310041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486794 + ... + 1488166.

Almost surely, 22042310040 is an apocalyptic number.

2042310040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357948880).

2042310040 is an abundant number, since it is smaller than the sum of its proper divisors (2673587720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2042310040 is a wasteful number, since it uses less digits than its factorization.

2042310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2042310040 is about 45191.9244998484. The cubic root of 2042310040 is about 1268.7436767058.

Adding to 2042310040 its reverse (400132402), we get a palindrome (2442442442).

The spelling of 2042310040 in words is "two billion, forty-two million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 907 1373 1640 1814 2746 3628 4535 5492 6865 7256 9070 10984 13730 18140 27460 36280 37187 54920 56293 74374 112586 148748 185935 225172 281465 297496 371870 450344 562930 743740 1125860 1245311 1487480 2251720 2490622 4981244 6226555 9962488 12453110 24906220 49812440 51057751 102115502 204231004 255288755 408462008 510577510 1021155020 2042310040